Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample591.0ms (77.2%)

Memory

33.7MiB live, 942.8MiB allocated

Samples

364.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 118.0ms (59.8% of total)

ival-exp: 71.0ms (36% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain61.0ms (7.9%)

Memory

5.6MiB live, 88.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (.f64 (.f64 x y) y))`
-	-	`y`
-	-	`(.f64 (.f64 x y) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (62.9% of total)

ival-exp: 4.0ms (35.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess6.0ms (0.8%)

Memory

-31.4MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	(exp.f64 (.f64 (.f64 x y) y))

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

localize15.0ms (2%)

Memory

29.5MiB live, 29.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.11328125	(.f64 (.f64 x y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (56.5% of total)

ival-exp: 2.0ms (37.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (1.2%)

Memory

-27.1MiB live, 11.1MiB allocated

Counts

3 → 9

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	y	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	y	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 3

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Outputs
1
(exp.f64 (.f64 (.f64 x y) y))
(+ 1 (* x (pow y 2)))
(.f64 (.f64 x y) y)
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(*.f64 x y)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)

eval1.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 53 to 11 computations (79.2% saved)

prune1.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	13.4%	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
▶	6.5%	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

Outputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

localize19.0ms (2.5%)

Memory

-7.6MiB live, 30.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.11328125	(.f64 (.f64 x y) y)
accuracy	55.44747328799996	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
accuracy	0.0	(*.f64 x y)
accuracy	59.82536592360936	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (56.5% of total)

ival-exp: 2.0ms (37.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.4%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 9

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(*.f64 x y)
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (pow y 2))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((exp (* (* x y) y)) (* x y) (exp (* (* x y) y)) (* (* x y) y))
1.0ms	y	@	-inf	((exp (* (* x y) y)) (* x y) (exp (* (* x y) y)) (* (* x y) y))
0.0ms	y	@	inf	((exp (* (* x y) y)) (* x y) (exp (* (* x y) y)) (* (* x y) y))
0.0ms	x	@	0	((exp (* (* x y) y)) (* x y) (exp (* (* x y) y)) (* (* x y) y))
0.0ms	x	@	inf	((exp (* (* x y) y)) (* x y) (exp (* (* x y) y)) (* (* x y) y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 4

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (pow y 2))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Outputs
1
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(+ 1 (* x (pow y 2)))
(*.f64 x y)
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(.f64 (.f64 x y) y)

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(*.f64 x y)
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)

Outputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(*.f64 x y)
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)

eval1.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 92 to 11 computations (88% saved)

prune2.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	7	3	10

Accuracy

100.0%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	13.4%	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
✓	6.5%	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Compiler

Compiled 56 to 30 computations (46.4% saved)

regimes7.0ms (0.9%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
100.0%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (1.9%)

Memory

-62.7MiB live, 15.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))

Outputs
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))

Calls

4 calls:

10.0ms	(exp.f64 (.f64 (.f64 x y) y))
1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
13.4%	1	`x`
13.4%	1	`y`
13.4%	1	`(exp.f64 (.f64 (.f64 x y) y))`
13.4%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.6%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))

Outputs
#s(approx (exp (* (* x y) y)) (*.f64 x y))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
6.5%	1	`y`
6.5%	1	`(.f64 (.f64 x y) y)`
6.5%	1	`x`
6.5%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

simplify4.0ms (0.5%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (*.f64 x y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (*.f64 x y))

soundness1.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Stop Event

1×

done

Compiler

Compiled 28 to 10 computations (64.3% saved)

preprocess22.0ms (2.9%)

Memory: -24.2MiB live, 52.5MiB allocated
Compiler: Compiled 68 to 30 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample591.0ms (77.2%)

explain61.0ms (7.9%)

preprocess6.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize15.0ms (2%)

series9.0ms (1.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize19.0ms (2.5%)

series3.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes7.0ms (0.9%)

regimes14.0ms (1.9%)

regimes5.0ms (0.6%)

simplify4.0ms (0.5%)

soundness1.0ms (0.1%)

preprocess22.0ms (2.9%)

end0.0ms (0%)

Profiling